Base | Representation |
---|---|
bin | 11110100011000011100… |
… | …00111110100000000000 |
3 | 10201100020021121210212000 |
4 | 33101201300332200000 |
5 | 114144101213432323 |
6 | 2122104001104000 |
7 | 135555240624444 |
oct | 17214160764000 |
9 | 3640207553760 |
10 | 1049612249088 |
11 | 375157829a47 |
12 | 14b509028000 |
13 | 77c938c5450 |
14 | 38b31480824 |
15 | 1c482066e43 |
hex | f461c3e800 |
1049612249088 has 1536 divisors, whose sum is σ = 3792402432000. Its totient is φ = 283787919360.
The previous prime is 1049612249027. The next prime is 1049612249123. The reversal of 1049612249088 is 8809422169401.
It is a happy number.
1049612249088 is a `hidden beast` number, since 10 + 4 + 9 + 61 + 2 + 2 + 490 + 88 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a super-2 number, since 2×10496122490882 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15665854431 + ... + 15665854497.
It is an arithmetic number, because the mean of its divisors is an integer number (2469012000).
Almost surely, 21049612249088 is an apocalyptic number.
1049612249088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1049612249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896201216000).
1049612249088 is an abundant number, since it is smaller than the sum of its proper divisors (2742790182912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1049612249088 is a wasteful number, since it uses less digits than its factorization.
1049612249088 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 198 (or 172 counting only the distinct ones).
The product of its (nonzero) digits is 1990656, while the sum is 54.
The spelling of 1049612249088 in words is "one trillion, forty-nine billion, six hundred twelve million, two hundred forty-nine thousand, eighty-eight".
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